The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 16GZ251 # Created Fri Nov 22 02:10:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 63 observations of 63 # Arc: 6.18y # First observation: 2011/03/13 # Last observation: 2017/05/17 # Chi-squared of fit: 82.31 DOF: 120 RMS: 0.20 # Min/Max residuals: -0.63 0.53 # Exact a, adot, b, bdot, g, gdot: 3.596999E-05 2.350995E-01 -5.990347E-06 -4.000361E-02 1.035050E-01 1.894864E-02 # Covariance matrix: 3.0817E-13 -5.2709E-14 9.3595E-15 9.5251E-13 8.5359E-13 1.1858E-13 -5.2709E-14 5.4398E-10 2.6402E-12 1.5974E-10 2.0469E-10 4.5498E-10 9.3595E-15 2.6402E-12 3.0332E-13 -6.9364E-13 1.1846E-12 2.5981E-12 9.5251E-13 1.5974E-10 -6.9364E-13 1.5353E-10 7.5626E-11 1.1925E-10 8.5359E-13 2.0469E-10 1.1846E-12 7.5626E-11 9.3149E-11 1.8885E-10 1.1858E-13 4.5498E-10 2.5981E-12 1.1925E-10 1.8885E-10 5.9455E-10 # lat0 lon0 xBary yBary zBary JD0 29.964109 146.982017 -0.429316 0.449946 -0.780530 2455634.039326 # Heliocentric elements and errors Epoch: 2455634.5000 = 2011/03/14 Mean Anomaly: 9.01017 +/- 0.002 Argument of Peri: 85.19526 +/- 0.008 Long of Asc Node: 37.27595 +/- 0.009 Inclination: 29.35224 +/- 0.001 Eccentricity: 0.42939959 +/- 0.0000 Semi-Major Axis: 17.83011561 +/- 0.0000 Time of Perihelion: 2454946.2283 +/- 0.1 Perihelion: 10.17387130 +/- 0.0000 Aphelion: 25.48635992 +/- 0.0000 Period (y) 75.2904 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -8.00373964 +/- 0.0000 Ecliptic Y 4.69122745 +/- 0.0000 Ecliptic Z 4.82541173 +/- 0.0000 Ecliptic XDOT -0.00419728 +/- 0.0000 Ecliptic YDOT -0.00468377 +/- 0.0000 Ecliptic ZDOT -0.00066636 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 10.45710937 +/- 0.0000 Geocenter to KBO 9.66137481 +/- 0.0000 # Hcoef: 11.08
The following table shows the complete astrometric record for 16GZ251. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (16GZ251) followed by the observatory code and reference code for the source of the astrometry.
2011 03 13.53856 10 48 27.187 +40 14 32.38 20.7G 16GZ251 F51 C~2r7d 2011 03 14.41969 10 48 09.866 +40 14 30.38 21.1G 16GZ251 F51 C~2r7d 2011 03 14.43283 10 48 09.609 +40 14 30.33 21.0G 16GZ251 F51 C~2r7d 2011 03 14.44697 10 48 09.322 +40 14 30.30 21.0G 16GZ251 F51 C~2r7d 2011 03 14.45862 10 48 09.086 +40 14 30.25 20.8G 16GZ251 F51 C~2r7d 2011 05 01.29052 10 37 50.642 +38 59 30.65 22.0G 16GZ251 F51 C~2r7d 2012 02 01.66322 11 49 58.618 +30 44 27.30 21.4G 16GZ251 F51 C~2r7d 2012 02 01.67488 11 49 58.491 +30 44 28.90 21.5G 16GZ251 F51 C~2r7d 2012 02 27.57587 11 43 39.000 +31 32 29.93 21.2G 16GZ251 F51 C~2r7d 2012 02 27.58647 11 43 38.825 +31 32 30.89 21.0G 16GZ251 F51 C~2r7d 2013 03 02.58017 12 21 23.232 +22 51 21.34 21.8G 16GZ251 F51 C~2r7d 2013 03 06.53552 12 20 22.072 +22 56 58.46 21.3G 16GZ251 F51 C~2r7d 2014 01 25.66550 12 57 14.109 +13 43 38.33 22.3G 16GZ251 F51 C~2r7d 2014 02 25.63949 12 53 30.542 +14 23 56.41 22.2G 16GZ251 F51 C~2r7d 2014 03 09.63806 12 50 56.334 +14 40 08.71 22.1G 16GZ251 F51 C~2r7d 2014 05 29.31959 12 33 27.815 +14 40 25.80 22.0G 16GZ251 F51 C~2r7d 2014 05 29.33144 12 33 27.745 +14 40 24.92 22.0G 16GZ251 F51 C~2r7d 2014 05 29.35516 12 33 27.572 +14 40 22.55 21.7G 16GZ251 F51 C~2r7d 2014 06 11.36053 12 32 41.428 +14 16 56.15 21.8G 16GZ251 F51 C~2r7d 2015 02 27.48184 13 19 00.163 +06 50 13.63 21.9G 16GZ251 F51 C~2r7d 2015 03 25.43344 13 13 38.148 +07 17 59.02 21.6w 16GZ251 F51 C~1rfC 2015 03 25.46315 13 13 37.709 +07 18 00.93 21.4w 16GZ251 F51 C~1rfC 2015 03 25.47817 13 13 37.482 +07 18 01.77 21.7w 16GZ251 F51 C~1rfC 2015 03 27.46564 13 13 08.831 +07 19 56.14 21.8G 16GZ251 F51 C~2r7d 2015 03 27.51396 13 13 08.113 +07 19 59.03 22.3G 16GZ251 F51 C~2r7d 2015 04 16.37311 13 08 13.272 +07 34 54.97 21.9G 16GZ251 F51 C~2r7d 2015 04 16.38762 13 08 13.063 +07 34 55.44 21.8G 16GZ251 F51 C~2r7d 2015 04 18.37256 13 07 43.885 +07 35 53.90 21.7G 16GZ251 F51 C~2r7d 2015 04 18.38737 13 07 43.638 +07 35 53.91 21.0G 16GZ251 F51 C~2r7d 2015 05 21.27346 13 00 53.555 +07 34 00.34 22.0w 16GZ251 F51 C~1rfC 2015 05 21.28779 13 00 53.394 +07 33 59.88 21.9w 16GZ251 F51 C~1rfC 2015 05 21.30211 13 00 53.279 +07 33 59.06 22.2w 16GZ251 F51 C~1rfC 2015 05 22.28007 13 00 44.205 +07 33 22.05 22.4G 16GZ251 F51 C~2r7d 2015 05 22.30528 13 00 43.949 +07 33 21.27 22.4G 16GZ251 F51 C~2r7d 2015 05 22.31784 13 00 43.843 +07 33 20.74 22.0G 16GZ251 F51 C~2r7d 2016 02 15.63823 13 42 41.010 -00 05 08.30 22.3G 16GZ251 F51 C~2r7d 2016 03 11.51733 13 39 18.84 +00 12 26.3 22.5R 16GZ251 F51 C~1rfC 2016 03 11.52856 13 39 18.74 +00 12 27.4 23.0R 16GZ251 F51 C~1rfC 2016 03 11.53981 13 39 18.59 +00 12 27.8 22.1R 16GZ251 F51 C~1rfC 2016 04 01.41763 13 34 55.070 +00 30 18.44 22.4w 16GZ251 F51 C~1rfC 2016 04 01.43103 13 34 54.888 +00 30 19.35 21.7w 16GZ251 F51 C~1rfC 2016 04 01.44448 13 34 54.704 +00 30 20.03 21.8w 16GZ251 F51 C~1rfC 2016 04 01.45796 13 34 54.498 +00 30 20.44 21.7w 16GZ251 F51 C~1rfC 2016 04 05.42155 13 33 59.00 +00 33 32.8 21.8R 16GZ251 F51 C~1rfC 2016 04 05.43644 13 33 58.79 +00 33 33.6 22.0R 16GZ251 F51 C~1rfC 2016 04 09.49512 13 33 01.08 +00 36 40.7 22.3R 16GZ251 F51 C~1rfC 2016 04 09.50866 13 33 00.87 +00 36 41.2 22.7R 16GZ251 F51 C~1rfC 2016 04 09.52188 13 33 00.67 +00 36 42.2 21.8R 16GZ251 F51 C~1rfC 2016 04 28.35777 13 28 34.40 +00 47 55.9 23.0R 16GZ251 F51 C~1rfC 2016 04 28.36895 13 28 34.23 +00 47 56.2 23.0R 16GZ251 F51 C~1rfC 2016 04 28.38015 13 28 34.08 +00 47 56.8 22.8R 16GZ251 F51 C~1rfC 2016 05 05.36136 13 27 01.336 +00 50 19.31 21.8G 16GZ251 F51 C~2r7d 2016 05 05.38445 13 27 01.017 +00 50 19.68 21.6G 16GZ251 F51 C~2r7d 2016 05 05.39607 13 27 00.869 +00 50 19.90 21.8G 16GZ251 F51 C~2r7d 2016 06 09.27241 13 21 21.516 +00 42 58.83 22.4G 16GZ251 F51 C~2r7d 2016 06 09.28524 13 21 21.447 +00 42 58.31 22.2G 16GZ251 F51 C~2r7d 2016 06 09.29845 13 21 21.369 +00 42 57.74 22.0G 16GZ251 F51 C~2r7d 2016 06 09.31125 13 21 21.281 +00 42 57.18 22.3G 16GZ251 F51 C~2r7d 2017 03 22.42840 13 57 42.242 -05 46 45.10 22.5G 16GZ251 F51 C~2r7d 2017 04 26.37251 13 49 59.787 -05 23 17.57 22.4G 16GZ251 F51 C~2r7d 2017 04 26.39383 13 49 59.486 -05 23 16.75 22.0G 16GZ251 F51 C~2r7d 2017 04 26.40451 13 49 59.356 -05 23 16.52 22.2G 16GZ251 F51 C~2r7d 2017 05 17.29825 13 45 30.978 -05 14 15.18 21.2G 16GZ251 F51 C~2r7d
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 -0.03 0.00 -0.02
2 0.0024 0.00 -0.12 0.00 -0.07
3 0.0024 0.00 -0.01 0.00 -0.06
4 0.0025 0.00 -0.06 0.00 -0.02
5 0.0025 0.00 -0.09 0.00 -0.01
6 0.1335 0.00 0.04 0.00 -0.13
7 0.8901 0.00 0.02 0.00 -0.07
8 0.8902 0.00 0.09 0.00 0.07
9 0.9611 0.00 -0.04 0.00 -0.04
10 0.9611 0.00 0.17 0.00 0.01
11 1.9714 0.00 -0.51 0.00 0.53
12 1.9822 0.00 0.08 0.00 0.03
13 2.8724 0.00 0.37 0.00 -0.02
14 2.9572 0.00 0.03 0.00 -0.10
15 2.9900 0.00 0.42 0.00 -0.15
16 3.2109 0.00 0.12 0.00 -0.17
17 3.2109 0.00 0.11 0.00 0.07
18 3.2110 0.00 -0.43 0.00 -0.05
19 3.2466 0.00 0.08 0.00 -0.31
20 3.9615 0.00 0.15 0.00 -0.33
21 4.0326 0.00 0.12 0.00 0.09
22 4.0326 0.00 0.05 0.00 0.26
23 4.0327 0.00 -0.06 0.00 0.22
24 4.0381 0.00 0.00 0.00 -0.08
25 4.0383 0.00 -0.04 0.00 0.07
26 4.0926 0.00 -0.01 0.00 -0.02
27 4.0927 0.00 0.13 0.00 -0.01
28 4.0981 0.00 0.16 0.00 -0.03
29 4.0981 0.00 -0.23 0.00 -0.43
30 4.1882 0.00 0.32 0.00 0.21
31 4.1882 0.00 -0.02 0.00 0.28
32 4.1883 0.00 0.34 0.00 -0.02
33 4.1909 0.00 0.11 0.00 0.08
34 4.1910 0.00 -0.16 0.00 0.28
35 4.1910 0.00 0.03 0.00 0.24
36 4.9284 0.00 0.19 0.00 0.01
37 4.9965 0.00 -0.63 0.00 -0.24
38 4.9966 0.00 -0.23 0.00 0.29
39 4.9966 0.00 -0.58 0.00 0.12
40 5.0537 0.00 0.17 0.00 -0.27
41 5.0538 0.00 0.28 0.00 -0.02
42 5.0538 0.00 0.37 0.00 -0.01
43 5.0539 0.00 0.14 0.00 -0.27
44 5.0647 0.00 -0.05 0.00 -0.01
45 5.0647 0.00 0.01 0.00 0.08
46 5.0759 0.00 -0.20 0.00 0.10
47 5.0759 0.00 -0.39 0.00 -0.01
48 5.0759 0.00 -0.51 0.00 0.40
49 5.1275 0.00 -0.16 0.00 -0.02
50 5.1275 0.00 -0.38 0.00 0.00
51 5.1276 0.00 -0.29 0.00 0.32
52 5.1467 0.00 0.20 0.00 -0.04
53 5.1467 0.00 -0.03 0.00 -0.03
54 5.1468 0.00 0.05 0.00 0.01
55 5.2423 0.00 -0.02 0.00 -0.03
56 5.2423 0.00 0.13 0.00 -0.00
57 5.2423 0.00 0.17 0.00 -0.01
58 5.2424 0.00 0.02 0.00 -0.03
59 6.0257 0.00 0.22 0.00 -0.07
60 6.1214 0.00 0.02 0.00 -0.13
61 6.1214 0.00 -0.03 0.00 -0.05
62 6.1215 0.00 0.26 0.00 -0.19
63 6.1787 0.00 -0.16 0.00 -0.12
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
16GZ251 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 17.941 17.940 17.941 ecceobj 0.430 0.430 0.430 incobj 29.297 29.297 29.297 qmin 10.161 10.161 10.161 qmax 25.658 27.393 25.658 amean 17.713 18.322 18.024 amin 17.399 17.187 17.608 amax 17.941 19.178 18.604 emean 0.413 0.393 0.377 emin 0.389 0.368 0.357 emax 0.431 0.431 0.431 imean 29.546 30.103 30.696 imin 28.800 28.800 28.800 imax 30.786 31.069 31.329 excite_mean 0.643 0.638 0.635 fracstop 0.002 0.017 0.014 cjmean 2.906 2.881 2.898 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 108.0 201.1 183.0 kozaiamp 22.8 105.8 81.0